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Finding the Fourth Proportional to 470,717.32, 649,902.72 and 361,627.38

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Solution

The fourth proportional to 470,717.32, 649,902.72 and 361,627.38 is: 499,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,717.32 : 649,902.72 = 361,627.38 : x
  2. Step 2: Convert to fraction form
    470,717.32/649,902.72 = 361,627.38/x
  3. Step 3: Cross multiply
    470,717.32x = 649,902.72 × 361,627.38
  4. Step 4: Simplify right side
    470,717.32x = 235,022,612,830.82
  5. Step 5: Solve for x
    x = 235,022,612,830.82/470,717.32
  6. Step 6: Final answer
    x = 499,286.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.